A Recovery-Based A Posteriori Error Estimator for H(curl) Interface Problems

TL;DR

This paper presents a new recovery-based a posteriori error estimator for H(curl) interface problems, providing reliable and efficient error bounds that are independent of coefficient jumps, supported by theoretical analysis and numerical validation.

Contribution

It introduces a novel recovery-based error estimator for H(curl) interface problems with proven reliability and efficiency bounds independent of coefficient jumps.

Findings

The estimator is reliable and efficient.

Constants are independent of coefficient jumps.

Numerical results support theoretical analysis.

Abstract

This paper introduces a new recovery-based a posteriori error estimator for the lowest order Nedelec finite element approximation to the H(curl) interface problem. The error estimator is analyzed by establishing both the reliability and the efficiency bounds and is supported by numerical results. Under certain assumptions, it is proved that the reliability and efficiency constants are independent of the jumps of the coefficients.